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Dominik [7]
3 years ago
15

In February, Alec had 1,562 visitors to his website. In March, he had 1,310 visitors to his website. What is the percentage decr

ease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

16.1% is the percentage decrease.

Step-by-step explanation:

We are given the following in the question:

Visitors in February = 1,562

Visitors in march = 1,310

We have to find the percentage decrease of the number of visitors to Alec's website from February to March.

Percentage decrease =

=\dfrac{\text{Change}}{\text{Original}}\times 100\%\\\\=\dfrac{1562-1310}{1562}\times 100\%\\\\=\dfrac{252}{1562}\times 100\% = 16.1\%

Thus, 16.1% is the percentage decrease in the number of visitors to Alec's website from February to March.

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A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that
kondaur [170]

Answer:

Probability that the company wins project A or project B is 0.50.

Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

            Probability of winning project B = P(B) = 0.25

<u>Now, as we know that ;</u>

Probability that the company wins project A or project B = P(A \bigcup B)

              P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)

So, we have to find the value of Probability of winning project A and B, i.e;

P(A \bigcap B)

<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>

                    P(A \bigcap B) = P(A) \times P(B)

                                    = 0.40 \times 0.25 = 0.10

Now, Probability that the company wins project A or project B is given by;

                 P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)  

                                  = 0.40 + 0.25 - 0.10

                                  = 0.65 - 0.10 = 0.55

Hence, probability that the company wins project A or project B is 0.50.

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2 years ago
Derive the equation of motion of the spring-mass system given below. Please show and MARK your derivation step by step. Missing
Arte-miy333 [17]

Answer:

Ö + θ ( (k/m) + (g/l)) = 0

Step-by-step explanation:

Use the FBD attached:

Apply Newtons 2 nd Law in tangential direction:

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Sum of all tangential forces is:

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Using small angle approximations:

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cos (θ) = 1

Ö = angular acceleration.

m*g*θ + k*l*θ = -m*l*Ö

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